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Finding the Fourth Proportional to 5,211.25, 7,815.69 and 1,512.67

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Solution

The fourth proportional to 5,211.25, 7,815.69 and 1,512.67 is: 2,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.25 : 7,815.69 = 1,512.67 : x
  2. Step 2: Convert to fraction form
    5,211.25/7,815.69 = 1,512.67/x
  3. Step 3: Cross multiply
    5,211.25x = 7,815.69 × 1,512.67
  4. Step 4: Simplify right side
    5,211.25x = 11,822,559.79
  5. Step 5: Solve for x
    x = 11,822,559.79/5,211.25
  6. Step 6: Final answer
    x = 2,268.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.